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Simplifying 0.08(y + -4) + 0.02y = 0.18y + -0.5 Reorder the terms: 0.08(-4 + y) + 0.02y = 0.18y + -0.5 (-4 * 0.08 + y * 0.08) + 0.02y = 0.18y + -0.5 (-0.32 + 0.08y) + 0.02y = 0.18y + -0.5 Combine like terms: 0.08y + 0.02y = 0.1y -0.32 + 0.1y = 0.18y + -0.5 Reorder the terms: -0.32 + 0.1y = -0.5 + 0.18y Solving -0.32 + 0.1y = -0.5 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.32 + 0.1y + -0.18y = -0.5 + 0.18y + -0.18y Combine like terms: 0.1y + -0.18y = -0.08y -0.32 + -0.08y = -0.5 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.32 + -0.08y = -0.5 + 0.00 -0.32 + -0.08y = -0.5 Add '0.32' to each side of the equation. -0.32 + 0.32 + -0.08y = -0.5 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + -0.08y = -0.5 + 0.32 -0.08y = -0.5 + 0.32 Combine like terms: -0.5 + 0.32 = -0.18 -0.08y = -0.18 Divide each side by '-0.08'. y = 2.25 Simplifying y = 2.25
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